1. Two Dimensional Motion

2. Vectors can be broken down into component x and y vectors
q = 40°
x = cosq (hypotenuse)
y = sinq (hypotenuse)

3. You can find a resultant vector by adding all of the x components and all of the y components.

4. q1 = 30° F = 5 N
q2 = 135° F = 2.5 N
q3 = 330° F = 4.5 N
30°
45°
30°
x = 5Ncos30° - 2.5Ncos45° + 4.5Ncos30°
= 6.46 N
y = 5Nsin30° + 2.5Nsin45° - 4.5Nsin30°
= 2.02 N
magnitude = 6.77 N
direction = 17.4°

5. Things moving in freefall with some velocity in the x direction
Projectiles
Things moving in freefall with some velocity in the x direction
The x and y motion are independent of each other and do not affect each other

6. Horizontally Launched Projectiles
vx is constant vx = vx,i = vx,f

7. vy,i = 0 Vertical Motion of Horizontally Launched Projectiles
g = m/s2
Dy = ½(vi + vf)Dt
vf = vi + aDt
Dy = viDt + ½ aDt2
vf2 = vi2 + 2aDy
Dy = ½vy,fDt
vy,f = gDt
Dy = ½gDt2
vy,f2 = 2gDy

8. I kick my calculator off the top of a 30 m building at 4 m/s
I kick my calculator off the top of a 30 m building at 4 m/s. What formula would you use to answer the following questions?
a) How fast will it be going vertically when it hits?
b) How long will it take?
c) How fast will it be going horizontally?
d) How far will it go horizontally?
vy,f2 = 2gDy
vy,f = gDt
vx,i = vx
Dx = vxDt